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4043202113040 = 2435173277351551
BaseRepresentation
bin111010110101100001101…
…000000010111000010000
3112022112012201002102201220
4322311201220002320100
51012220434220104130
612333231005125040
7565053213624336
oct72654150027020
915275181072656
104043202113040
111319792206622
12553724259780
132343703a952c
14dd998cc5b56
157028db5b410
hex3ad61a02e10

4043202113040 has 160 divisors (see below), whose sum is σ = 12651923367936. Its totient is φ = 1068082022400.

The previous prime is 4043202113023. The next prime is 4043202113059. The reversal of 4043202113040 is 403112023404.

It is a super-2 number, since 2×40432021130402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4043202113040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11325265 + ... + 11676815.

Almost surely, 24043202113040 is an apocalyptic number.

4043202113040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4043202113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6325961683968).

4043202113040 is an abundant number, since it is smaller than the sum of its proper divisors (8608721254896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4043202113040 is a wasteful number, since it uses less digits than its factorization.

4043202113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352017 (or 352011 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4043202113040 its reverse (403112023404), we get a palindrome (4446314136444).

The spelling of 4043202113040 in words is "four trillion, forty-three billion, two hundred two million, one hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 173 240 277 346 519 554 692 831 865 1038 1108 1384 1385 1662 1730 2076 2216 2595 2768 2770 3324 3460 4152 4155 4432 5190 5540 6648 6920 8304 8310 10380 11080 13296 13840 16620 20760 22160 33240 41520 47921 66480 95842 143763 191684 239605 287526 351551 383368 479210 575052 703102 718815 766736 958420 1054653 1150104 1406204 1437630 1757755 1916840 2109306 2300208 2812408 2875260 3515510 3833680 4218612 5273265 5624816 5750520 7031020 8437224 10546530 11501040 14062040 16874448 21093060 28124080 42186120 60818323 84372240 97379627 121636646 182454969 194759254 243273292 292138881 304091615 364909938 389518508 486546584 486898135 584277762 608183230 729819876 779037016 912274845 973093168 973796270 1168555524 1216366460 1459639752 1460694405 1558074032 1824549690 1947592540 2337111048 2432732920 2919279504 2921388810 3649099380 3895185080 4674222096 4865465840 5842777620 7298198760 7790370160 11685555240 14596397520 16846675471 23371110480 33693350942 50540026413 67386701884 84233377355 101080052826 134773403768 168466754710 202160105652 252700132065 269546807536 336933509420 404320211304 505400264130 673867018840 808640422608 1010800528260 1347734037680 2021601056520 4043202113040